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Article: REMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS

TitleREMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS
Authors
Li, DongSire, Yannick
Issue Date2023
Citation
Transactions of the American Mathematical Society, 2023, v. 376, n. 2, p. 945-967 How to Cite?
DOI: http://dx.doi.org/10.1090/tran/8708
AbstractThis note is devoted to several results about frequency localized functions and associated Bernstein inequalities for higher order operators. In particular, we construct some counterexamples for the frequency-localized Bernstein inequalities for higher order Laplacians. We show also that the heat semi-group associated to powers larger than one of the laplacian does not satisfy the strict maximum principle in general. Finally, in a suitable range we provide several positive results.
Persistent Identifierhttp://hdl.handle.net/10722/327457
ISSN
0002-9947
2023 Impact Factor: 1.2
2023 SCImago Journal Rankings: 1.581
ISI Accession Number ID
WOS:000882155400001

 

DC FieldValueLanguage
dc.contributor.authorLi, Dong-
dc.contributor.authorSire, Yannick-
dc.date.accessioned2023-03-31T05:31:28Z-
dc.date.available2023-03-31T05:31:28Z-
dc.date.issued2023-
dc.identifier.citationTransactions of the American Mathematical Society, 2023, v. 376, n. 2, p. 945-967-
dc.identifier.issn0002-9947-
dc.identifier.urihttp://hdl.handle.net/10722/327457-
dc.description.abstractThis note is devoted to several results about frequency localized functions and associated Bernstein inequalities for higher order operators. In particular, we construct some counterexamples for the frequency-localized Bernstein inequalities for higher order Laplacians. We show also that the heat semi-group associated to powers larger than one of the laplacian does not satisfy the strict maximum principle in general. Finally, in a suitable range we provide several positive results.-
dc.languageeng-
dc.relation.ispartofTransactions of the American Mathematical Society-
dc.titleREMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1090/tran/8708-
dc.identifier.scopuseid_2-s2.0-85146481304-
dc.identifier.volume376-
dc.identifier.issue2-
dc.identifier.spage945-
dc.identifier.epage967-
dc.identifier.eissn1088-6850-
dc.identifier.isiWOS:000882155400001-

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